On some semilinear equation in \(\mathbb R^4\) containing a Laplacian term and involving nonlinearity with exponential growth (Q746497)
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scientific article; zbMATH DE number 6495276
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some semilinear equation in \(\mathbb R^4\) containing a Laplacian term and involving nonlinearity with exponential growth |
scientific article; zbMATH DE number 6495276 |
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On some semilinear equation in \(\mathbb R^4\) containing a Laplacian term and involving nonlinearity with exponential growth (English)
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16 October 2015
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The author gives sufficient conditions for problems \[ \Delta^2 u + u = \lambda g(x) (|\Delta u| +1) + f(u) \] in \(\mathbb{R}^4\) to admit two nontrivial weak solutions.
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biharmoninc operator
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Adams-type inequality
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critical exponential growth
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Laplacian term
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Palais-Smale condition
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iterative scheme
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